Development of a modified runge-kutta scheme with TVD limiters for the ideal two-dimensional MHD equations

36th AIAA Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1998, Pages

  Harada, Shigeki ^a   Hoffmann, Klaus A ^a   Augustinus, Justin ^a  

^a Wichita State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; EXPANSION; FLOW FIELDS; RUNGE KUTTA METHODS;

EXPANSION WAVE; FOURTH ORDER; MHD EQUATIONS; NUMERICAL SCHEME; PHYSICAL PHENOMENA; RUNGE-KUTTA SCHEMES; SECONDARY WAVES; SHOCK REFLECTION;

MAGNETOHYDRODYNAMICS;

EID: 85088352494     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-981     Document Type: Conference Paper

References (8)

1. Brio, M. and Wu, C. C., "An Upwind Differencing Scheme for the Equations of Ideal Magnetohydrodynamics," Journal of Computational Physics 75, 1988, pp. 400-422.
2. Zachary, A. L. and Colella, P., "A Higher-Order Godunov Method for the Equations of Ideal Magnetohydrodynamics," Journal of Computational Physics 99, 1992, pp. 341-347.
3. Woodward, P. R. and Dai, W., "An Approximate Riemann Solver in Magnetohydrodynamics," University of Minnesota Supercomputer Institute Research Report, December 1991.
4. Woodward, P. R. and Dai, W., "Extension of the Piecewise Parabolic Method to Multidimensional Ideal Magnetohydrodynamics," Journal of Computational Physics 115, 1994, pp. 485-514.
5. Woodward, P. R. and Dai, W., "A Simple Riemann Solver and High-Order Godunov Schemes for Hyperbolic Systems of Conservation Laws," Journal of Computational Physics 121, 1995, pp. 51-65.
6. Harada, S., Augustinus, J., Hoffinann, K. A., and Agarwal, R. K., "Development of a Modified Runge-Kutta Scheme with TVD Limiters for the Ideal 1-D MHD Equations," 13th AIAA Computational Fluid Dynamics Conference, Snowmass, CO, June 29-July 2, 1997.
7. Augstinus, J., Harada, S., Hoffinann, K. A. and Agarwal, R. K., "Numerical Solution of the Modified Eight-Wave Structure Ideal MHD Equations by Modified Runge-Kutta Scheme with TVD," 28th AIAA Plasmadynamics and Lasers Conference, Atlanta, GA, June 23-25, 1997.
8. Powell, K. G., "An Approximate Riemann Solver for Magnetohydrodynamics (that Works in More Than One Dimension), " NASA Contractor Report 194902 ICASE Report No. 94-24, April 1994.